alleryStart learning →The mean of six values is 8. Each is tripled and then 2 is subtracted. The new mean is
- 20
- 22
- 24
- 26
Show answer and solution
Correct answer: B. 22
Tripling gives mean 24 and subtracting 2 from every value gives 22.
Olympiad (Class 7) Data interpretation and analysis — practice questions — page 3
Explore 68 free Data interpretation and analysis questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 61–68 of 68.
The mean of six values is 8. Each is tripled and then 2 is subtracted. The new mean isRead the answer and worked solution →Four ordered numbers have median 9. The larger middle number is 11. The smaller middle number isRead the answer and worked solution →The numbers 4, 6, 6, 8 and x have mean 7. Find x.Read the answer and worked solution →Seven numbers have mean 9. The first four have mean 8 and the last four have mean 11. The fourth number isRead the answer and worked solution →Nine students average 50 marks. The topper's 90 is removed. The mean of the other eight isRead the answer and worked solution →In a class of 36, a quarter walk and a third take the bus. The rest cycle. How many cycle?Read the answer and worked solution →A pupil averaged 72 in five tests. What score in a sixth test lifts the mean to 75?Read the answer and worked solution →A pupil scored 76, 82 and 78. What is needed in a fourth test to average 80?Read the answer and worked solution →
Worked practice questions
Four ordered numbers have median 9. The larger middle number is 11. The smaller middle number is
- 5
- 6
- 7
- 8
Show answer and solution
Correct answer: C. 7
The median is the mean of the two middle numbers, so they sum to 18, and 18 minus 11 is 7.
The numbers 4, 6, 6, 8 and x have mean 7. Find x.
- 11
- 9
- 10
- 12
Show answer and solution
Correct answer: A. 11
The total must be 35, and 4 plus 6 plus 6 plus 8 is 24, so x is 11.
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